Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе:
https://open.uns.ac.rs/handle/123456789/9930
Nаziv: | Homogeneity in generalized function algebras | Аutоri: | Hanel C. Mayerhofer E. Pilipović, Stevan Vernaeve H. |
Dаtum izdаvаnjа: | 15-мар-2008 | Čаsоpis: | Journal of Mathematical Analysis and Applications | Sažetak: | We investigate homogeneity in the special Colombeau algebra on Rd as well as on the pierced space Rd {set minus} {0}. It is shown that strongly scaling invariant functions on Rd are simply the constants. On the pierced space, strongly homogeneous functions of degree α admit tempered representatives, whereas on the whole space, such functions are polynomials with generalized coefficients. We also introduce weak notions of homogeneity and show that these are consistent with the classical notion on the distributional level. Moreover, we investigate the relation between generalized solutions of the Euler differential equation and homogeneity. © 2007 Elsevier Inc. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/9930 | ISSN: | 0022247X | DOI: | 10.1016/j.jmaa.2007.07.049 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
Prikаzаti cеlоkupаn zаpis stаvki
SCOPUSTM
Nаvоđеnjа
3
prоvеrеnо 09.09.2023.
Prеglеd/i stаnicа
24
Prоtеklа nеdеljа
1
1
Prоtеkli mеsеc
0
0
prоvеrеnо 10.05.2024.
Google ScholarTM
Prоvеritе
Аlt mеtrikа
Stаvkе nа DSpace-u su zаštićеnе аutоrskim prаvimа, sа svim prаvimа zаdržаnim, оsim аkо nije drugačije naznačeno.